A Lattice Computation of the First Moment of the Kaon's Distribution Amplitude
P. A. Boyle, M. A. Donnellan, J. M. Flynn, A. Juttner, J. Noaki, C. T. Sachrajda, R. J. Tweedie
Abstract
We present a lattice computation of the first moment of the kaon's leading-twist distribution amplitude. The results were computed using ensembles with 2+1 dynamical flavours with the domain wall fermion action and Iwasaki gauge action from the RBC and UKQCD joint dataset. The first moment is non-zero because of SU(3)-breaking effects, and we find that we are able to measure these effects very clearly. We observe the expected chiral behaviour and finally obtain <ξ>(2GeV) = 3/5*aK1(2GeV) = 0.032(3), which agrees very well with results obtained using sum-rules, but with a significantly smaller error.
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